Next Article in Journal
Information Theory Consequences of the Scale-Invariance of Schröedinger’s Equation
Next Article in Special Issue
On the Role of Entropy Generation in Processes Involving Fatigue
Previous Article in Journal
Fluctuation, Dissipation and the Arrow of Time
Article Menu

Export Article

Open AccessArticle
Entropy 2011, 13(12), 2036-2048; doi:10.3390/e13122036

Eigenvalue Estimates Using the Kolmogorov-Sinai Entropy

Department of Mathematics, National Taiwan Normal University, 88 SEC. 4, Ting Chou Road, Taipei 11677, Taiwan
Received: 31 October 2011 / Revised: 28 November 2011 / Accepted: 12 December 2011 / Published: 20 December 2011
(This article belongs to the Special Issue Concepts of Entropy and Their Applications)
View Full-Text   |   Download PDF [153 KB, uploaded 24 February 2015]   |  

Abstract

The scope of this paper is twofold. First, we use the Kolmogorov-Sinai Entropy to estimate lower bounds for dominant eigenvalues of nonnegative matrices. The lower bound is better than the Rayleigh quotient. Second, we use this estimate to give a nontrivial lower bound for the gaps of dominant eigenvalues of A and A + V. View Full-Text
Keywords: Kolmogorov-Sinai entropy; Parry’s theorem; Eigenvalue estimates Kolmogorov-Sinai entropy; Parry’s theorem; Eigenvalue estimates
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

Scifeed alert for new publications

Never miss any articles matching your research from any publisher
  • Get alerts for new papers matching your research
  • Find out the new papers from selected authors
  • Updated daily for 49'000+ journals and 6000+ publishers
  • Define your Scifeed now

SciFeed Share & Cite This Article

MDPI and ACS Style

Shieh, S.-F. Eigenvalue Estimates Using the Kolmogorov-Sinai Entropy. Entropy 2011, 13, 2036-2048.

Show more citation formats Show less citations formats

Related Articles

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Entropy EISSN 1099-4300 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top